If the distance between 2 objects becomes 4 times then calculate the gravitational force between them.
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Answer:
If the distance between two objects becomes 4 times then the gravitational force between them will be reduced to 16 times.
Explanation:
The gravitational force of attraction between two objects of masses M and m separated by a distance d can be calculated using the equation,
F = G Mm / d²
Where G is the universal gravitational constant.
If the distance is increased 4 times then in the above equation, d = 4d
⇒ F = G Mm / (4d)²
F = G Mm / 16d²
F = 1/16 × (G Mm / d²)
This implies that the force is 1/16 times the previous force. Or the force is reduced to 16 times.
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